Moving and staying together without a leader

@article{Grgoire2003MovingAS,
  title={Moving and staying together without a leader},
  author={Guillaume Gr{\'e}goire and Hugues Chat{\'e} and Yuhai Tu},
  journal={Physica D: Nonlinear Phenomena},
  year={2003},
  volume={181},
  pages={157-170}
}
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269 Citations
Highly Influential Citations
20
Background Citations
101
Methods Citations
32
Results Citations
7

269 Citations

Citation Type

Citation Type

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TLDR
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The Vicsek model of collective motion is extended by introducing long-range alignment interactions between the particles, and it is shown that just a small number of these interactions is enough for the system to build up long lasting ordered states of collectiveMotion in open space and in the presence of noise.
Cohesive motion in one-dimensional flocking
A one-dimensional rule-based model for flocking, which combines velocity alignment and long-range centering interactions, is presented and studied. The induced cohesion in the collective motion of…
Milling and meandering: Flocking dynamics of stochastically interacting agents with a field of view.
We introduce a stochastic agent-based model for the flocking dynamics of self-propelled particles that exhibit nonlinear velocity-alignment interactions with neighbors within their field of view. The…
Boltzmann and hydrodynamic description for self-propelled particles.
TLDR
A homogeneous spontaneous motion emerges below a transition line in the noise-density plane, and is shown to be unstable against spatial perturbations, suggesting that more complicated structures should eventually appear.
Unidirectional laning and migrating cluster crystals in confined self-propelled particle systems.
  • A. Menzel
  • Geology
    Journal of physics. Condensed matter : an Institute of Physics journal
  • 2013
TLDR
This work uses a variant of the Vicsek model that includes pairwise repulsive interactions to describe the collective behaviour of self-propelled particles and suggests that in certain parameter ranges they observe collectively migrating clusters that arrange in an approximately hexagonal way.
Hydrodynamics and phases of flocks
Collective Dynamics of Pedestrians with No Fixed Destination
In order to understand pedestrian dynamics, we construct a model of self-propelled disk particles interacting repulsively with no fixed destination. From molecular dynamics simulations, we find that…
Active particle condensation by non-reciprocal and time-delayed interactions
TLDR
Under the combined effect of non-reciprocal interaction (induced by limited vision-cone) among the agents and the presence of delay in the interactions on the dynamical pattern formation within the flock, the agents can spontaneously condense into “drops”.
Onset of collective and cohesive motion.
TLDR
It is found that this phase transition, in two space dimensions, is always discontinuous, including for the minimal model of Vicsek et al. for which a nontrivial critical point was previously advocated.
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References

SHOWING 1-10 OF 36 REFERENCES
Spontaneously ordered motion of self-propelled particles
We study a biologically inspired, inherently non-equilibrium model consisting of self-propelled particles. In the model, particles move on a plane with a velocity of constant magnitude; they locally…
Self-organization in systems of self-propelled particles.
TLDR
A continuum version of the discrete model consisting of self-propelled particles that obey simple interaction rules is developed and it is demonstrated that the agreement between the discrete and the continuum model is excellent.
Long-Range Order in a Two-Dimensional Dynamical XY Model: How Birds Fly Together.
  • Toner, Tu
  • Physics
    Physical review letters
  • 1995
TLDR
A nonequilibrium continuum dynamical model for the collective motion of large groups of biological organisms and describes a large universality class of microscopic rules, including those recently simulated by Vicsek et al.
Active and passive particles: modeling beads in a bacterial bath.
TLDR
The results suggest that superdiffusive behavior should indeed be generically observed in the transition region marking the onset of collective motion.
Flocks, herds, and schools: A quantitative theory of flocking
We present a quantitative continuum theory of ``flocking'': the collective coherent motion of large numbers of self-propelled organisms. In agreement with everyday experience, our model predicts the…
Noise-induced breakdown of coherent collective motion in swarms.
  • A. Mikhailov, D. Zanette
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1999
TLDR
This work considers swarms formed by populations of self-propelled particles with attractive long-range interactions, which can be found either in coherent traveling states or in an incoherent oscillatory state where translational motion of the entire swarm is absent.
Novel type of phase transition in a system of self-driven particles.
TLDR
Numerical evidence is presented that this model results in a kinetic phase transition from no transport to finite net transport through spontaneous symmetry breaking of the rotational symmetry.
Particle diffusion in a quasi-two-dimensional bacterial bath.
TLDR
The effect of bacterial motion on micron-scale beads in a freely suspended soap film is studied, and the measured mean-square displacements indicate superdiffusion in short times and normal diffusion in long times.
Spontaneous Formation of Vortex in a System of Self Motorised Particles
We study a system of disks with inelastic collisions. Energy is given to the system via a force of constant modulus, applied on each particle in the direction of its velocity. This system shows a…
Modellization of self-propelling particles with a coupled map lattice model
We make a simple coupled map lattice model for simulating self-propelling particles. The interaction consists of three parts: viscous 'smearing' where the momenta are averaged over some…
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